Finding the Third Proportional to 105,180 and 215,268

Step by Step Solution

1. Step 1: Write the proportion equation
   105,180 : 215,268 = 215,268 : x
2. Step 2: Convert to fraction form
   105,180/215,268 = 215,268/x
3. Step 3: Cross multiply
   105,180x = 215,268 × 215,268
4. Step 4: Simplify right side
   105,180x = 46,340,311,824
5. Step 5: Solve for x
   x = 46,340,311,824/105,180
6. Step 6: Final answer
   x = 440,581.02